sqrt(2(sqrt(14x+8)))=sqrt(3x+4)

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Solution for sqrt(2(sqrt(14x+8)))=sqrt(3x+4) equation: 


Simplifying
sqrt(2(sqrt(14x + 8))) = sqrt(3x + 4)

Reorder the terms:
qrst(2(qrst(8 + 14x))) = sqrt(3x + 4)
qrst(2((8 * qrst + 14x * qrst))) = sqrt(3x + 4)
qrst(2((8qrst + 14qrstx))) = sqrt(3x + 4)
qrst((8qrst * 2 + 14qrstx * 2)) = sqrt(3x + 4)
qrst((16qrst + 28qrstx)) = sqrt(3x + 4)
(16qrst * qrst + 28qrstx * qrst) = sqrt(3x + 4)
(16q2r2s2t2 + 28q2r2s2t2x) = sqrt(3x + 4)

Reorder the terms:
16q2r2s2t2 + 28q2r2s2t2x = qrst(4 + 3x)
16q2r2s2t2 + 28q2r2s2t2x = (4 * qrst + 3x * qrst)
16q2r2s2t2 + 28q2r2s2t2x = (4qrst + 3qrstx)

Solving
16q2r2s2t2 + 28q2r2s2t2x = 4qrst + 3qrstx

Solving for variable 'q'.

Reorder the terms:
-4qrst + -3qrstx + 16q2r2s2t2 + 28q2r2s2t2x = 4qrst + 3qrstx + -4qrst + -3qrstx

Reorder the terms:
-4qrst + -3qrstx + 16q2r2s2t2 + 28q2r2s2t2x = 4qrst + -4qrst + 3qrstx + -3qrstx

Combine like terms: 4qrst + -4qrst = 0
-4qrst + -3qrstx + 16q2r2s2t2 + 28q2r2s2t2x = 0 + 3qrstx + -3qrstx
-4qrst + -3qrstx + 16q2r2s2t2 + 28q2r2s2t2x = 3qrstx + -3qrstx

Combine like terms: 3qrstx + -3qrstx = 0
-4qrst + -3qrstx + 16q2r2s2t2 + 28q2r2s2t2x = 0

Factor out the Greatest Common Factor (GCF), 'qrst'.
qrst(-4 + -3x + 16qrst + 28qrstx) = 0


Subproblem 1
Set the factor 'qrst' equal to zero and attempt to solve:

Simplifying
qrst = 0

Solving
qrst = 0

Move all terms containing q to the left, all other terms to the right.

Simplifying
qrst = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(-4 + -3x + 16qrst + 28qrstx)' equal to zero and attempt to solve:

Simplifying
-4 + -3x + 16qrst + 28qrstx = 0

Reorder the terms:
-4 + 16qrst + 28qrstx + -3x = 0

Solving
-4 + 16qrst + 28qrstx + -3x = 0

Move all terms containing q to the left, all other terms to the right.

Add '4' to each side of the equation.
-4 + 16qrst + 28qrstx + 4 + -3x = 0 + 4

Reorder the terms:
-4 + 4 + 16qrst + 28qrstx + -3x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 16qrst + 28qrstx + -3x = 0 + 4
16qrst + 28qrstx + -3x = 0 + 4

Combine like terms: 0 + 4 = 4
16qrst + 28qrstx + -3x = 4

Add '3x' to each side of the equation.
16qrst + 28qrstx + -3x + 3x = 4 + 3x

Combine like terms: -3x + 3x = 0
16qrst + 28qrstx + 0 = 4 + 3x
16qrst + 28qrstx = 4 + 3x

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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